Unsteady flow of Casson nano-blood through uneven/composite stenosis porous artery with an inclined magnetic field
Document Type : Research Paper
Authors
1 Laboratory of Research in Physics and Engineering Sciences (LRPSI), Polydisciplinary faculty, Sultan Moulay Slimane University, Beni Mellal, Morocco
2 Department of mechanical engineering, University of Ottawa, Ottawa, Canada
Abstract
Studying the flow of blood through unhealthy arteries has emerged as an important area of focus in recent years. Narrowing of the arteries (stenosis) is the most prevalent types of arterial diseases. The present work aims to explore the impact of an inclined magnetic field on the flow of blood via a stenotic porous artery with gold nanoparticles. The blood is supposed to be non-Newtonian and described utilizing the Casson model. To account for the effect of magneto-hemodynamic, a uniform inclined magnetic field is subjected to the flow of blood. A method of finite difference has been used to solve the equations governing the fluid flow with the boundary conditions. Features hemodynamic variables like as velocity, temperature, wall shear stress, flow rate and impedance resistance are determined at the stenosis's critical height for both composite and irregular stenosis. The present model has been verified by comparing it to previous work, and it is shown to be in great concurrence with the prior work.
Keywords
Main Subjects
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[18] B. K. Sharma, R. Gandhi, T. Abbas, Magnetohydrodynamics hemodynamics hybrid nanofluid flow through inclined stenotic artery ∗, Vol. 44, No. 3, pp. 459-476, 2023.
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[20] A. Zaman, H. H. Khan, A. A. Khan, F. u. Shah, Body acceleration effects on two-directional unsteady Cross fluid (blood) flow in time variant stenosed (w-shape) artery, Chinese Journal of Physics, Vol. 86, pp. 136-147, 2023.
[21] A. Daiz, A. Bahlaoui, I. Arroub, S. Belhouideg, A. Raji, M. Hasnaoui, Modeling of nanofluid mixed convection within discretely heated lid-driven inclined cavity using lattice Boltzmann method, AIP Conference Proceedings, Vol. 2761, No. 1, pp. 40018-40018, 2023.
[22] Y. Foukhari, M. Sammouda, M. Driouich, MHD natural convection in an annular space between two coaxial cylinders partially filled with metal base porous layer saturated by Cu–water nanofluid and subjected to a heat flux, Journal of Thermal Analysis and Calorimetry, 2023.
[23] Y. Ighris, Y. Bouhouchi, Y. Elguennouni, J. Baliti, M. Hssikou, A. Boumezzough, Numerical study of natural convection in an inclined cavity filled with Al2O3/Cu-H2O nanofluids, Numerical Heat Transfer, Part A: Applications, pp. 1-25.
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[25] T. Saeed, I. Abbas, Finite element analyses of nonlinear DPL bioheat model in spherical tissues using experimental data, Mechanics Based Design of Structures and Machines, Vol. 50, No. 4, pp. 1287-1297, 2022.
[26] A. D. Hobiny, I. A. Abbas, Nonlinear analysis of dual-phase lag bio-heat model in living tissues induced by laser irradiation, Journal of Thermal Stresses, Vol. 43, No. 4, pp. 503-511, 2020.
[27] M. Marin, A. Hobiny, I. Abbas, Finite element analysis of nonlinear bioheat model in skin tissue due to external thermal sources, Mathematics, Vol. 9, No. 13, pp. 1-9, 2021.
[28] I. Abbas, A. Hobiny, H. Alshehri, S. Vlase, M. Marin, Analysis of Thermoelastic Interaction in a Polymeric Orthotropic Medium Using the Finite Element Method, Polymers, Vol. 14, No. 10, pp. 1-12, 2022.
[29] I. El Glili, A. Saidi, Y. Foukhari, M. Driouich, M. Sammouda, Numerical simulation of unsteady blood based Carreau nanofluid flow in an inclined porous saturated artery having overlapping stenosis with electro-osmosis, Numerical Heat Transfer; Part A: Applications, Vol. 0, No. 0, pp. 1-31, 2024.
[30] I. El Glili, M. Driouich, Computational study of the pulsatile EMHD Sutterby nanofluid flow of blood through an inclined tapered porous artery having overlapping stenosis with body acceleration, Archive of Applied Mechanics, 2024.
[31] J. Tripathi, B. Vasu, O. A. Bég, Computational simulations of hybrid mediated nano- hemodynamics (Ag-Au/Blood) through an irregular symmetric stenosis, Computers in Biology and Medicine, Vol. 130, pp. 104213-104213, 2021.
[32] A. Zaman, N. Ali, M. Sajid, Numerical simulation of pulsatile flow of blood in a porous-saturated overlapping stenosed artery, Mathematics and Computers in Simulation, Vol. 134, pp. 1-16, 2017.
[33] A. Zaman, N. Ali, O. Anwar Bég, Numerical simulation of unsteady micropolar hemodynamics in a tapered catheterized artery with a combination of stenosis and aneurysm, Medical and Biological Engineering and Computing, Vol. 54, No. 9, pp. 1423-1436, 2016.
[34] M. Fahim, M. Sajid, N. Ali, Non-isothermal flow of Sisko fluid in a stenotic tube induced via pulsatile pressure gradient and periodic body acceleration, Physica Scripta, Vol. 96, No. 8, 2021.
[35] K. Hoffmann, S. Chiang, Computational Fluid Dynamics. Vol. 1, pp. p.486-p.486.
[36] M. S. Shabbir, Z. Abbas, N. Ali, Numerical study of heat and mass transfer on the pulsatile flow of blood under atherosclerotic condition, International Journal of Nonlinear Sciences and Numerical Simulation, 2022.
[37] I. M. Eldesoky, M. H. Kamel, R. M. Hussien, R. M. Abumandour, Numerical Study of Unsteady MHD Pulsatile Flow through Porous Medium in an Artery Using Generalized Differential Quadrature Method (GDQM), International Journal of Materials, Mechanics and Manufacturing, Vol. 1, No. 2, pp. 200-206, 2013.
[38] J. Tripathi, B. Vasu, O. A. Bég, R. S. R. Gorla, P. K. Kameswaran, Computational simulation of rheological blood flow containing hybrid nanoparticles in an inclined catheterized artery with stenotic, aneurysmal and slip effects, Computers in Biology and Medicine, Vol. 139, No. October, 2021.
[2] S. Ijaz, S. Nadeem, Slip examination on the wall of tapered stenosed artery with emerging application of nanoparticles, International Journal of Thermal Sciences, Vol. 109, pp. 401-412, 2016.
[3] B. Bahrami, M. Hojjat-Farsangi, H. Mohammadi, E. Anvari, G. Ghalamfarsa, M. Yousefi, F. Jadidi-Niaragh, Nanoparticles and targeted drug delivery in cancer therapy, Immunol Lett, Vol. 190, pp. 64-83, Oct, 2017.
[4] R. Gandhi, B. K. Sharma, Q. M. Al-Mdallal, H. V. R. Mittal, Entropy generation and shape effects analysis of hybrid nanoparticles (Cu-Al2O3/blood) mediated blood flow through a time-variant multi-stenotic artery, International Journal of Thermofluids, Vol. 18, No. December 2022, pp. 100336-100336, 2023.
[5] W. P. Walawender, T. Y. Chen, D. F. Cala, An approximate casson fluid model for tube flow of blood, Biorheology, Vol. 12, No. 2, pp. 111-119, 1975.
[6] Sarifuddin, S. Chakravarty, P. K. Mandal, Numerical simulation of casson fluid flow through differently shaped arterial stenoses, Zeitschrift fur Angewandte Mathematik und Physik, Vol. 65, No. 4, pp. 767-782, 2014.
[7] P. Das, Sarifuddin, J. Rana, P. K. Mandal, Solute dispersion in transient Casson fluid flow through stenotic tube with exchange between phases, Physics of Fluids, Vol. 33, No. 6, 2021.
[8] R. Padma, R. T. Selvi, R. Ponalagusamy, Electromagnetic control of non-Newtonian fluid (blood) suspended with magnetic nanoparticles in the tapered constricted inclined tube, AIP Conference Proceedings, Vol. 2336, 2021.
[9] R. Gandhi, B. K. Sharma, O. D. Makinde, Entropy analysis for MHD blood flow of hybrid nanoparticles (Au–Al2O3/blood) of different shapes through an irregular stenosed permeable walled artery under periodic body acceleration: Hemodynamical applications, ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Vol. n/a, No. n/a, pp. e202100532-e202100532, 2022.
[10] C. S. K. Raju, H. T. Basha, N. F. M. Noor, N. A. Shah, S.-J. Yook, Significance of body acceleration and gold nanoparticles through blood flow in an uneven/composite inclined stenosis artery: A finite difference computation, Mathematics and Computers in Simulation, Vol. 215, pp. 399-419, 2024.
[11] J. Tripathi, B. Vasu, O. A. Bég, B. R. Mounika, R. S. R. Gorla, Numerical simulation of the transport of nanoparticles as drug carriers in hydromagnetic blood flow through a diseased artery with vessel wall permeability and rheological effects, Microvascular Research, Vol. 139, No. August 2021, 2022.
[12] A. Ali, S. Das, Applications of neuro-computing and fractional calculus to blood streaming conveying modified trihybrid nanoparticles with interfacial nanolayer aspect inside a diseased ciliated artery under electroosmotic and Lorentz forces, International Communications in Heat and Mass Transfer, Vol. 152, pp. 107313-107313, 2024.
[13] I. E. Glili, M. Driouich, Pulsatile flow of EMHD non-Newtonian nano-blood through an inclined tapered porous artery with combination of stenosis and aneurysm under body acceleration and slip effects and aneurysm under body acceleration and slip effects, Numerical Heat Transfer, Part A: Applications, Vol. 0, No. 0, pp. 1-29, 2024.
[14] I. El Glili, M. Driouich, Impact of inclined magnetic field on non-orthogonal stagnation point flow of CNT-water through stretching surface in a porous medium, Journal of Thermal Engineering, Vol. 10, No. 1, pp. 115-129, 2024.
[15] S. Dolui, B. Bhaumik, S. De, Combined effect of induced magnetic field and thermal radiation on ternary hybrid nanofluid flow through an inclined catheterized artery with multiple stenosis, Chemical Physics Letters, Vol. 811, pp. 140209-140209, 2023.
[16] I. El Glili, M. Driouich, The Effect of Nonlinear Thermal Radiation on EMHD Casson Nanofluid over a Stretchable Riga Plate with Temperature-Dependent Viscosity and Chemical Reaction, Physical Chemistry Research, Vol. 12, No. 1, pp. 157-173, 2024. en
[17] R. Gandhi, B. K. Sharma, N. K. Mishra, Q. M. Al-Mdallal, Computer Simulations of EMHD Casson Nanofluid Flow of Blood through an Irregular Stenotic Permeable Artery: Application of Koo-Kleinstreuer-Li Correlations, Nanomaterials, Vol. 13, No. 4, 2023.
[18] B. K. Sharma, R. Gandhi, T. Abbas, Magnetohydrodynamics hemodynamics hybrid nanofluid flow through inclined stenotic artery ∗, Vol. 44, No. 3, pp. 459-476, 2023.
[19] A. C. Burton, Physiology and Biophysics of the Circulation: An Introductory Text, 1965, pp. 394-394.
[20] A. Zaman, H. H. Khan, A. A. Khan, F. u. Shah, Body acceleration effects on two-directional unsteady Cross fluid (blood) flow in time variant stenosed (w-shape) artery, Chinese Journal of Physics, Vol. 86, pp. 136-147, 2023.
[21] A. Daiz, A. Bahlaoui, I. Arroub, S. Belhouideg, A. Raji, M. Hasnaoui, Modeling of nanofluid mixed convection within discretely heated lid-driven inclined cavity using lattice Boltzmann method, AIP Conference Proceedings, Vol. 2761, No. 1, pp. 40018-40018, 2023.
[22] Y. Foukhari, M. Sammouda, M. Driouich, MHD natural convection in an annular space between two coaxial cylinders partially filled with metal base porous layer saturated by Cu–water nanofluid and subjected to a heat flux, Journal of Thermal Analysis and Calorimetry, 2023.
[23] Y. Ighris, Y. Bouhouchi, Y. Elguennouni, J. Baliti, M. Hssikou, A. Boumezzough, Numerical study of natural convection in an inclined cavity filled with Al2O3/Cu-H2O nanofluids, Numerical Heat Transfer, Part A: Applications, pp. 1-25.
[24] I. A. Abbas, Generalized thermoelastic interaction in functional graded material with fractional order three-phase lag heat transfer, Journal of Central South University, Vol. 22, No. 5, pp. 1606-1613, 2015.
[25] T. Saeed, I. Abbas, Finite element analyses of nonlinear DPL bioheat model in spherical tissues using experimental data, Mechanics Based Design of Structures and Machines, Vol. 50, No. 4, pp. 1287-1297, 2022.
[26] A. D. Hobiny, I. A. Abbas, Nonlinear analysis of dual-phase lag bio-heat model in living tissues induced by laser irradiation, Journal of Thermal Stresses, Vol. 43, No. 4, pp. 503-511, 2020.
[27] M. Marin, A. Hobiny, I. Abbas, Finite element analysis of nonlinear bioheat model in skin tissue due to external thermal sources, Mathematics, Vol. 9, No. 13, pp. 1-9, 2021.
[28] I. Abbas, A. Hobiny, H. Alshehri, S. Vlase, M. Marin, Analysis of Thermoelastic Interaction in a Polymeric Orthotropic Medium Using the Finite Element Method, Polymers, Vol. 14, No. 10, pp. 1-12, 2022.
[29] I. El Glili, A. Saidi, Y. Foukhari, M. Driouich, M. Sammouda, Numerical simulation of unsteady blood based Carreau nanofluid flow in an inclined porous saturated artery having overlapping stenosis with electro-osmosis, Numerical Heat Transfer; Part A: Applications, Vol. 0, No. 0, pp. 1-31, 2024.
[30] I. El Glili, M. Driouich, Computational study of the pulsatile EMHD Sutterby nanofluid flow of blood through an inclined tapered porous artery having overlapping stenosis with body acceleration, Archive of Applied Mechanics, 2024.
[31] J. Tripathi, B. Vasu, O. A. Bég, Computational simulations of hybrid mediated nano- hemodynamics (Ag-Au/Blood) through an irregular symmetric stenosis, Computers in Biology and Medicine, Vol. 130, pp. 104213-104213, 2021.
[32] A. Zaman, N. Ali, M. Sajid, Numerical simulation of pulsatile flow of blood in a porous-saturated overlapping stenosed artery, Mathematics and Computers in Simulation, Vol. 134, pp. 1-16, 2017.
[33] A. Zaman, N. Ali, O. Anwar Bég, Numerical simulation of unsteady micropolar hemodynamics in a tapered catheterized artery with a combination of stenosis and aneurysm, Medical and Biological Engineering and Computing, Vol. 54, No. 9, pp. 1423-1436, 2016.
[34] M. Fahim, M. Sajid, N. Ali, Non-isothermal flow of Sisko fluid in a stenotic tube induced via pulsatile pressure gradient and periodic body acceleration, Physica Scripta, Vol. 96, No. 8, 2021.
[35] K. Hoffmann, S. Chiang, Computational Fluid Dynamics. Vol. 1, pp. p.486-p.486.
[36] M. S. Shabbir, Z. Abbas, N. Ali, Numerical study of heat and mass transfer on the pulsatile flow of blood under atherosclerotic condition, International Journal of Nonlinear Sciences and Numerical Simulation, 2022.
[37] I. M. Eldesoky, M. H. Kamel, R. M. Hussien, R. M. Abumandour, Numerical Study of Unsteady MHD Pulsatile Flow through Porous Medium in an Artery Using Generalized Differential Quadrature Method (GDQM), International Journal of Materials, Mechanics and Manufacturing, Vol. 1, No. 2, pp. 200-206, 2013.
[38] J. Tripathi, B. Vasu, O. A. Bég, R. S. R. Gorla, P. K. Kameswaran, Computational simulation of rheological blood flow containing hybrid nanoparticles in an inclined catheterized artery with stenotic, aneurysmal and slip effects, Computers in Biology and Medicine, Vol. 139, No. October, 2021.
)
Volume 56, Issue 1
January 2025Pages 87-100
- Receive Date: 05 June 2024
- Revise Date: 25 June 2024
- Accept Date: 27 June 2024